A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10-8 Ω m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is 1.1 × 10-3 m/s.

Question

A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10-8 Ω m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is 1.1 × 10-3 m/s. (A) 1.3 m2 /Vs (B) 1.5 m2 /Vs (C) 1.8 m2 /Vs (D) 1.0 m2 /Vs

Tardigrade Admin · Accepted Answer

μ = (Vd/E) E = ρ J = (1.1 ×10-3/1.7 ×10-8 ×(5)π ×25×10-6) = (1.1 × 10-3 × π × 25 × 10-6/1.7 ×10-8×5)≈1.01m2 /Vs

Q. A current of $5 A$ passes through a copper conductor (resistivity = $1.7 \times 1 0^{- 8} Ω m$ ) of radius of cross-section $5 mm$ . Find the mobility of the charges if their drift velocity is $1.1 \times 1 0^{- 3} m / s$ .

$1.3 m^{2} / V s$

$1.5 m^{2} / V s$

$1.8 m^{2} / V s$

$1.0 m^{2} / V s$

$μ = \frac{V _{d}}{E} E = ρ J$
$= \frac{1.1 \times 1 0 ^{- 3}}{1.7 \times 1 0 ^{- 8} \times \frac{5}{π \times 25 \times 1 0 ^{- 6}}}$
$= \frac{1.1 \times 1 0 ^{- 3} \times π \times 25 \times 1 0 ^{- 6}}{1.7 \times 1 0 ^{- 8} \times 5} \approx 1.01 m^{2} / V s$

Q. A current of 5A passes through a copper conductor (resistivity = 1.7×10−8Ωm) of radius of cross-section 5mm. Find the mobility of the charges if their drift velocity is 1.1×10−3m/s.

1.3m2/Vs

1.5m2/Vs

1.8m2/Vs

1.0m2/Vs